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4928 = 26711
BaseRepresentation
bin1001101000000
320202112
41031000
5124203
634452
720240
oct11500
96675
104928
113780
122a28
132321
141b20
1516d8
hex1340

4928 has 28 divisors (see below), whose sum is σ = 12192. Its totient is φ = 1920.

The previous prime is 4919. The next prime is 4931. The reversal of 4928 is 8294.

4928 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4928.

It is an unprimeable number.

4928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 443 + ... + 453.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096).

4928 is an abundant number, since it is smaller than the sum of its proper divisors (7264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4928 is a wasteful number, since it uses less digits than its factorization.

4928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 20 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 4928 is about 70.1997150991. The cubic root of 4928 is about 17.0172834605.

It can be divided in two parts, 49 and 28, that added together give a palindrome (77).

The spelling of 4928 in words is "four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928